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Let n be the number of swans,
(7/2)√n = number of swans playing on shore
As number of swans can only be a positive integer, and from options we can see only 16 as a perfect square
so, number of swans playing on shore= (7/2)√16 = (7/2) × 4 = 14
So, total number of swans = 14 + swans quarreling in water = 14 + 2 = 16
So, total number of swans will be 16
Therefore as per order of questions asked are concerned, Answer is 4th option (16, 14)
akhil16112005:
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Answer:
Let total = x
a/q,
7/2√(x) +2 = x
7(√x) + 4 = 2x
7(√x) = 2x-4
squaring both sides we get,
49x = 4x²+16-16x
4x²-65x+16 = 0
4x²-64x-x+16 = 0
4x(x-16)-1(x-16) = 0
(4x-1)(x-16) = 0
x = 16.
so, (14,16) (Ans)
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